1-3-5-7-13 dekany - Revision history

BudjarnLambeth at 08:55, 5 October 2025

2025-10-05T08:55:01Z

← Older revision		Revision as of 08:55, 5 October 2025
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	The simplest [[13-odd-limit]] [[dekany]]. This creates a scale of 1 13/12 7/6 5/4 65/48 35/24 13/8 5/3 7/4 91/48, with steps of 13/12 14/13 15/14 13/12 14/13 39/35 40/39 21/20 13/12 96/91. Since every step is a quartertone or larger, it can be mapped unambiguously to a standard 12-tone keyboard. Although there is no 3/2 above the root note, there are ones above 5/3, 13/12 and 7/6 that create a warped version of a I IV V chord sequence and give those notes greater stability as roots.		[[File:Dekany 1 3 5 7 13.png\|thumb\|Circle diagram (rotated).]] The simplest [[13-odd-limit]] [[dekany]]. This creates a scale of 1 13/12 7/6 5/4 65/48 35/24 13/8 5/3 7/4 91/48, with steps of 13/12 14/13 15/14 13/12 14/13 39/35 40/39 21/20 13/12 96/91. Since every step is a quartertone or larger, it can be mapped unambiguously to a standard 12-tone keyboard. Although there is no 3/2 above the root note, there are ones above 5/3, 13/12 and 7/6 that create a warped version of a I IV V chord sequence and give those notes greater stability as roots.

	<pre>		<pre>

Fredg999 category edits: Removing from Category:Combination product sets using Cat-a-lot

2025-08-17T20:53:29Z

Removing from Category:Combination product sets using Cat-a-lot

← Older revision		Revision as of 20:53, 17 August 2025
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	[[Category:Dekanies]]		[[Category:Dekanies]]
	~~[[Category:Combination product sets]]~~
	[[Category:10-tone scales]]		[[Category:10-tone scales]]
	[[Category:Pages with Scala files]]		[[Category:Pages with Scala files]]

Yourmusic Productions: Create Page.

2025-08-14T15:59:48Z

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The simplest [[13-odd-limit]] [[dekany]]. This creates a scale of 1 13/12 7/6 5/4 65/48 35/24 13/8 5/3 7/4 91/48, with steps of 13/12 14/13 15/14 13/12 14/13 39/35 40/39 21/20 13/12 96/91. Since every step is a quartertone or larger, it can be mapped unambiguously to a standard 12-tone keyboard. Although there is no 3/2 above the root note, there are ones above 5/3, 13/12 and 7/6 that create a warped version of a I IV V chord sequence and give those notes greater stability as roots.

<pre>
! 1-3-5-7-13_Dekany.scl
!
1 3 5 7 13 2-combination Dekany
10
!
13/12
7/6
5/4
65/48
35/24
13/8
5/3
7/4
91/48
2/1
</pre>

Suggested keyboard mapping: Start on C, skipping the D and F# notes.

== Music ==
* [[Tito Silversax]]: [https://titosilversax.bandcamp.com/track/ring-3 Ring (3)]

[[Category:Dekanies]]
[[Category:Combination product sets]]
[[Category:10-tone scales]]
[[Category:Pages with Scala files]]